288496 has 40 divisors (see below), whose sum is σ = 642320. Its totient is φ = 124416.

The previous prime is 288493. The next prime is 288499. The reversal of 288496 is 694882.

288496 = 79² + 80² + ... + 110².

It is an interprime number because it is at equal distance from previous prime (288493) and next prime (288499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3916 + ... + 3988.

It is an arithmetic number, because the mean of its divisors is an integer number (16058).

2²⁸⁸⁴⁹⁶ is an apocalyptic number.

288496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321160).

288496 is an abundant number, since it is smaller than the sum of its proper divisors (353824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288496 is a wasteful number, since it uses less digits than its factorization.

288496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 288496 is about 537.1182365178. The cubic root of 288496 is about 66.0764342515.

It can be divided in two parts, 288 and 496, that added together give a square (784 = 28²).

The spelling of 288496 in words is "two hundred eighty-eight thousand, four hundred ninety-six".